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11240321004 = 223211291496569
BaseRepresentation
bin10100111011111100…
…11010111111101100
31002000100122110200100
422131332122333230
5141010010233004
65055211031100
7545355103113
oct123576327754
932010573610
1011240321004
1148489605a0
12221843b490
1310a195b623
14788b8ac7a
1545bc10739
hex29df9afec

11240321004 has 144 divisors (see below), whose sum is σ = 32284980000. Its totient is φ = 3266135040.

The previous prime is 11240320997. The next prime is 11240321009. The reversal of 11240321004 is 40012304211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11240321009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1707832 + ... + 1714400.

It is an arithmetic number, because the mean of its divisors is an integer number (224201250).

Almost surely, 211240321004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142490000).

11240321004 is an abundant number, since it is smaller than the sum of its proper divisors (21044658996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11240321004 is a wasteful number, since it uses less digits than its factorization.

11240321004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11240321004 its reverse (40012304211), we get a palindrome (51252625215).

The spelling of 11240321004 in words is "eleven billion, two hundred forty million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 149 174 198 261 298 319 348 396 447 522 596 638 894 957 1044 1276 1341 1639 1788 1914 2682 2871 3278 3828 4321 4917 5364 5742 6556 6569 8642 9834 11484 12963 13138 14751 17284 19668 19707 25926 26276 29502 38889 39414 47531 51852 59004 59121 72259 77778 78828 95062 118242 142593 144518 155556 190124 190501 216777 236484 285186 289036 381002 427779 433554 570372 571503 650331 762004 855558 867108 978781 1143006 1300662 1711116 1714509 1957562 2095511 2286012 2601324 2936343 3429018 3915124 4191022 5872686 6286533 6858036 8382044 8809029 10766591 11745372 12573066 17618058 18859599 21533182 25146132 28384649 32299773 35236116 37719198 43066364 56769298 64599546 75438396 85153947 96899319 113538596 129199092 170307894 193798638 255461841 312231139 340615788 387597276 510923682 624462278 936693417 1021847364 1248924556 1873386834 2810080251 3746773668 5620160502 11240321004